What does G_0 mean when using desolve?

09202021, 03:33 AM
Post: #1




What does G_0 mean when using desolve?
Hi everyone,
I just started to learn calculus and I was using HP Prime to solve some differential equation with desolve. For example I entered following command: Code: desolve(d(y,x))=(y^24) ) Code: [(2*G_0*e^(4*x)2)/(G_0*e^(4*x)1)] So what does G_0 mean? It doesn't look like 'y' or something.... 

09202021, 04:35 AM
Post: #2




RE: What does G_0 mean when using desolve?
G_# refers to a constant. If you specified boundary conditions, you would get the result for those specific conditions as opposed to a constant covering a general solution.


09202021, 01:33 PM
Post: #3




RE: What does G_0 mean when using desolve?
Note that integration also generate constant of integration.
But, if we use integrated result, F(x), to evaluate F(b)  F(a), the constant cancelled. Thus, HP Prime CAS (and many other CAS) did not return the constant. XCAS> ∫(x,x) → x^2/2 Although constant is not reported, keep in mind it is there ... 

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